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Finding the Fourth Proportional to 102,538.88, 141,498.24 and 57,824

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Solution

The fourth proportional to 102,538.88, 141,498.24 and 57,824 is: 79,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538.88 : 141,498.24 = 57,824 : x
  2. Step 2: Convert to fraction form
    102,538.88/141,498.24 = 57,824/x
  3. Step 3: Cross multiply
    102,538.88x = 141,498.24 × 57,824
  4. Step 4: Simplify right side
    102,538.88x = 8,181,994,229.76
  5. Step 5: Solve for x
    x = 8,181,994,229.76/102,538.88
  6. Step 6: Final answer
    x = 79,794.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.